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While Python has arbitrary-sized integers, integers in Numba-compiled
functions get a fixed size through type inference (usually,
the size of a machine integer). This means that arithmetic
operations can wrapround or produce undefined results or overflow.

Type inference can be overriden by an explicit type specification,
if fine-grained control of integer width is desired.

In nopython mode, global and closure variables are frozen by
Numba: a Numba-compiled function sees the value of those variables at the
time the function was compiled. Also, it is not possible to change their
values from the function.

To modify a global variable within a function, you can pass it as an argument
and modify it in place without the need to explicitly return it.